Name
Title | ||
|---|---|---|
Numerical Verification of Solutions of Periodic Integral Equations with a Singular Kernel. |
Abstract | ||
|---|---|---|
This paper proposes the method of numerical verification of solutions of a periodic integral equation with a logarithmic singular kernel, which is typically found in some two-dimensional potential problems. The verification method utilizes a property of the singular integral for trigonometric polynomials, the periodic Sobolev space and Schauder's fixed point theorem. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1023/B:NUMA.0000049476.37729.99 | Numerical Algorithms |
Keywords | Field | DocType |
sobolev space,integral equation,fixed point theorem,singular integral | Mathematical optimization,Line integral,Singular integral,Mathematical analysis,Singular solution,Sobolev space,Integral equation,Daniell integral,Periodic graph (geometry),Fixed-point theorem,Mathematics | Journal |
Volume | Issue | ISSN |
37 | 1-4 | 1572-9265 |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sunao Murashige | 1 | 3 | 2.89 |
| Shin'ichi Oishi | 2 | 280 | 37.14 |